Dynamics of Dissipative System with Asymmetric Interaction and N-Body Problem for the Emergence of Moving Cluster

Yūki Sugiyama (), Katsutoshi Masuoka and Takahiro Ishida
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Yūki Sugiyama: Nagoya University, Department of Complex Systems Science
Katsutoshi Masuoka: Nagoya University, Department of Complex Systems Science
Takahiro Ishida: Nagoya University, Department of Complex Systems Science

A chapter in Traffic and Granular Flow ’07, 2009, pp 555-563 from Springer

Abstract: Summary Collective motion of self-driven particles is a non-equilibrium dissipative system with asymmetric interaction. Optimal Velocity Model is a minimal model formulated with Newtonian equation of particles in nonlinear asymmetric interaction with dissipative (viscous) term. Through the investigations of OV model we show the general properties in such systems: The inseparable relation between the asymmetry and dissipation. The particle-number N (or density) is a control parameter for the instability of a system. The small-N is large enough degree of freedom in such many-particle systems. They contrast sharply with the energy-momentum conserved systems.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-77074-9_60

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DOI: 10.1007/978-3-540-77074-9_60

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